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306221136 = 243131728867
BaseRepresentation
bin10010010000001…
…001000001010000
3210100012122102120
4102100021001100
51111343034021
650215214240
710405556664
oct2220110120
9710178376
10306221136
11147943521
1286677380
134b598650
142c9528a4
151bd3c2c6
hex12409050

306221136 has 80 divisors (see below), whose sum is σ = 902067264. Its totient is φ = 88676352.

The previous prime is 306221129. The next prime is 306221137. The reversal of 306221136 is 631122603.

It is a happy number.

306221136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306221137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3826 + ... + 25041.

Almost surely, 2306221136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306221136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451033632).

306221136 is an abundant number, since it is smaller than the sum of its proper divisors (595846128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306221136 is a wasteful number, since it uses less digits than its factorization.

306221136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28908 (or 28902 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 306221136 is about 17499.1752948532. The cubic root of 306221136 is about 674.0286979243.

Adding to 306221136 its reverse (631122603), we get a palindrome (937343739).

The spelling of 306221136 in words is "three hundred six million, two hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 28867 57734 86601 115468 173202 230936 346404 375271 461872 490739 692808 750542 981478 1125813 1385616 1472217 1501084 1962956 2251626 2944434 3002168 3925912 4503252 5888868 6004336 6379607 7851824 9006504 11777736 12759214 18013008 19138821 23555472 25518428 38277642 51036856 76555284 102073712 153110568 306221136